Question 26

Challenge question #26 (29/08/2016)

Junior Question

Two different numbers are randomly chosen out of the set $\{1$, $2$, $3$, $4$, $5$, ...., $12\}$.
Determine the probability that one of the numbers is a multiple of the other.

Answer

The probability is $\tfrac{23}{66}$.

Worked Solution

Senior Question

Hint

Start by constructing a smaller square lying on [AC].

Worked Solution